Bird's engineering mathematics / John Bird.

Section 1: Number and algebra -- Revision of fractions, decimals and percentages --Indices, standard form and engineering notation -- Binary, octal and hexadecimal numbers --Calculations and evaluation of formulae --Algebra -- Further algebra -- Partial fractions --Solving simple equations --Transposition of formulae -- Solving simultaneous equations --Solving quadratic equations -- Inequalities -- Logarithms-- Exponential functions --Number sequences --The binomial series

Section 2: Trigonometry --Introduction to trigonometry --Trigonometric waveforms --Cartesian and polar co-ordinates-- Triangles and some practical applications -- Trigonometric identities and equations --Compound angles

Section 3: Areas and volumes -- Areas of common shapes --The circle and its properties --Volumes and surface areas of common solids --Irregular areas and volumes and mean values of waveforms

Section 4: Graphs --Straight line graphs --Reduction of non-linear laws to linear form --Graphs with logarithmic scales --Graphical solution of equations -- Functions and their curves

Section 5: Complex numbers -- Complex numbers --De Moivre’s theorem

Section 6: Vectors --Vectors -Methods of adding alternating waveforms

Section 7: Differential calculus --Introduction to differentiation --Methods of differentiation --Some applications of differentiation -- Solving equations by Newton's methods --Maclaurin’s series --Differentiation of parametric equations --Differentiation of implicit functions --Logarithmic differentiation

Section 8: Integral calculus --Standard integration --Integration using algebraic substitutions --Integration using trigonometric substitutions -- Integration using partial fractions --The t = tan θ/2 substitution --Integration by parts --Numerical integration --Areas under and between curves --Mean and root mean square values --Volumes and solids of revolution --Centroids of simple shapes --Second moments of area

Section 9: Differential equations -- Introduction to differential equations

Section 10:Further number and algebra --Boolean algebra and logic circuits --The theory of matrices and determinants --The solution of simultaneous equations by matrices and determinants

Section 11: Statistics --Presentation of statistical data -- Mean, median, mode and standard deviation --Probability -- The binomial and Poisson distribution -- The normal distribution -- Linear correlation -- Linear regression -- Sampling and estimation theories